Airfoil shape for a compressor

ABSTRACT

An article of manufacture having a nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y, and Z set forth in a scalable TABLE 1, wherein the Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances by multiplying the Cartesian coordinate values of X, Y, and Z by a number, and wherein X and Y are coordinates which, when connected by continuing arcs, define airfoil profile sections at each Z height, the airfoil profile sections at each Z height being joined with one another to form a complete airfoil shape.

RELATED APPLICATIONS

The present application is related to the following commonly assignedapplications: Ser. No. ______ (Docket No. 277752 (1011)); Ser. No.______ (Docket No. 277754 (1013)); Ser. No. (Docket No. 277784 (1012));Ser. No. (Docket No. 277913 (1016)); Ser. No. ______ (Docket No. 278957(1015)); Ser. No. (Docket No. 278976 (1017)); Ser. No. (Docket No.279003 (1018)); Ser. No. ______ (Docket No. 279149 (1019)); Ser. No.(Docket No. 280088 (1020)); Ser. No. (Docket No. 280098 (1021)), filedconcurrently herewith. The disclosures of these applications areincorporated herein by reference in full and made a part hereof.

TECHNICAL FIELD

The present application and the resultant patent relate generally to gasturbine engines and more particularly relates to an airfoil profile orairfoil shape for use in a compressor.

BACKGROUND OF THE INVENTION

In a gas turbine engine, many system requirements should be met at eachstage of the flow path therethrough to meet design goals. These designgoals include, but are not limited to, overall improved efficiency, areduction in vibratory response, improved airfoil loading capability,and the like. For example, a compressor airfoil profile should achievethermal and mechanical operating requirements for a particular stage inthe compressor. Moreover, component lifetime, reliability, and costtargets also should be met.

SUMMARY OF THE INVENTION

According to one aspect of the present application, an article ofmanufacture is provided with a nominal airfoil profile substantially inaccordance with the Cartesian coordinate values of X, Y, and Z set forthin scalable TABLE 1, wherein the Cartesian coordinate values of X, Y,and Z are non-dimensional values convertible to dimensional distances bymultiplying the Cartesian coordinate values of X, Y, and Z by a number,and wherein X and Y are coordinates which, when connected by continuingarcs, define airfoil profile sections at each Z height, the airfoilprofile sections at each Z height being joined with one another to forma complete airfoil shape.

According to another aspect of the present application, an article ofmanufacture is provided with a suction-side nominal airfoil profilesubstantially in accordance with the suction-side Cartesian coordinatevalues of X, Y, and Z set forth in scalable TABLE 1, wherein theCartesian coordinate values of X, Y, and Z are non-dimensional valuesconvertible to dimensional distances by multiplying the Cartesiancoordinate values of X, Y, and Z by a number, and wherein X and Y arecoordinates which, when connected by continuing arcs, define airfoilprofile sections at each Z height, the airfoil profile sections at eachZ height being joined smoothly with one another to form a completesuction-side airfoil shape, the X, Y, and Z coordinate values beingscalable as a function of the number to provide at least one of anon-scaled, scaled-up, and scaled-down airfoil profile.

According to yet another aspect of the present application, a compressoris provided with a number of rotor blades, each of the rotor bladesincluding an airfoil having a suction-side airfoil shape, the airfoilhaving a nominal profile substantially in accordance with thesuction-side Cartesian coordinate values of X, Y, and Z set forth inscalable TABLE 1, wherein the Cartesian coordinate values of X, Y and Zare non-dimensional values convertible to dimensional distances bymultiplying the Cartesian coordinate values of X, Y, and Z by a number,and wherein X and Y are coordinates which, when connected by continuingarcs, define airfoil profile sections at each Z height, the airfoilprofile sections at each Z height being joined with one another to forma complete suction-side airfoil shape.

These and other features and improvements of the present application andthe resultant patent will become apparent to one of ordinary skill inthe art upon review of the following detailed description when taken inconjunction with the several drawings and the appended claims.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a schematic diagram of a gas turbine engine including acompressor, a combustor, a turbine, and a load.

FIG. 2 is a schematic diagram of a compressor with multiple stages and aflow path therethrough.

FIG. 3 is a perspective view of a rotor blade airfoil as may bedescribed herein.

FIG. 4 is a cross-sectional view of the rotor blade airfoil taken alongline 4-4 of FIG. 3.

DETAILED DESCRIPTION

Referring now to the drawings, in which like numerals refer to likeelements throughout the several views, FIG. 1 shows a schematic view ofgas turbine engine 10 as may be used herein. The gas turbine engine 10may include a compressor 15. The compressor 15 compresses an incomingflow of air 20. The compressor 15 delivers the compressed flow of air 20to a combustor 25. The combustor 25 mixes the compressed flow of air 20with a pressurized flow of fuel 30 and ignites the mixture to create aflow of combustion gases 35. Although only a single combustor 25 isshown, the gas turbine engine 10 may include any number of thecombustors 25 arranged in a circumferential array or otherwise. The flowof combustion gases 35 is delivered in turn to a turbine 40. The flow ofcombustion gases 35 drives the turbine 40 so as to produce mechanicalwork. The mechanical work produced in the turbine 40 drives thecompressor 15 via a shaft 45 and an external load 50 such as anelectrical generator and the like.

The gas turbine engine 10 may use natural gas, liquid fuels, varioustypes of syngas, and/or other types of fuels and blends thereof. The gasturbine engine 10 may be any one of a number of different gas turbineengines offered by General Electric Company of Schenectady, N.Y.,including, but not limited to, those such as a 7 or a 9 series heavyduty gas turbine engine and the like. The gas turbine engine 10 may havedifferent configurations and may use other types of components. Othertypes of gas turbine engines also may be used herein. Multiple gasturbine engines, other types of turbines, and other types of powergeneration equipment also may be used herein together.

FIG. 2 shows an example of the compressor 15. The compressor 15 mayinclude a number of compressor stages with an axial compressor flow path55 therethrough. As one non-limiting example only, the compressor flowpath 55 may include about eighteen rotor/stator stages. The exact numberof rotor and stator stages, however, may be a matter of engineeringdesign choice and may be more or less than the illustrated eighteenstages. It is to be understood that any number of rotor and statorstages may be provided herein.

Each stage of the compressor 15 may include a number ofcircumferentially spaced rotor blades 60 mounted on a rotor wheel 65 anda number of circumferentially spaced stator vanes 70 attached to astatic compressor case 75. Each of the rotor wheels 65 may be attachedto an aft drive shaft 80, which may be connected to the turbine sectionof the engine. The rotor blades and stator vanes may lie in the flowpath 55 of the compressor 15. The direction of airflow through thecompressor flow path 55 flows generally from left to right in FIG. 2.Other components and other configurations may be used herein.

The compressor rotor blades 60 impart kinetic energy to the airflow andtherefore bring about a desired pressure rise. Directly following therotor blades 60 may be a stage of the compressor stator vanes 70.However, in some designs the stator vanes may precede the rotor blades.Both the rotor blades and stator vanes turn the airflow, slow theairflow velocity (in the respective airfoil frame of reference), andyield a rise in the static pressure of the airflow. Typically, multiplerows of rotor/stator stages are arranged in axial flow compressors toachieve a desired discharge to inlet pressure ratio. Each rotor bladeand stator vane includes an airfoil, and these airfoils can be securedto rotor wheels or a stator case by an appropriate attachmentconfiguration, often known as a “root,” “base” or “dovetail”. Inaddition, the compressor 15 also may include inlet guide vanes (IGV's)85, variable stator vanes (VSV's) 90, and exit or exhaust guide vanes(EGV's) 95. All of these blades and vanes have airfoils that act on themedium (e.g., air) passing through the compressor flow path 55. Othercomponents and other configurations may be used herein.

The rotor blades 60 and stator vanes 70 are merely exemplary of thestages of the compressor 15 described herein. In addition, each rotorblade 60, stator vane 70, inlet guide vane 85, variable stator vane 90,and exit guide vane 95 may be considered an article of manufacture.Further, the article of manufacture may include a rotor blade configuredfor use with a compressor 15.

FIG. 3 shows an example of a rotor blade 100 as may be described herein.In this example, the rotor blade 100 includes an airfoil 105. Each ofthe rotor blades 100 may have an airfoil profile at any cross-sectionfrom an airfoil root 110 to an airfoil tip 120. The airfoil 105 mayconnect to a mounting base 130, which also may be referred to as adovetail. The mounting base 130 fits into a complementary shaped grooveor slot in the rotor or rotor wheel 65. Examples of the compressor 15may include a variety of blades 60 and vanes 70, 85, 90, 95 arranged inmultiple stages.

Referring to FIG. 4, the airfoil 105 may have a suction side 140 and apressure side 150. The suction side 140 may be located on the opposingside of the airfoil 105 from the pressure side 150. Thus, each rotorblade 60 may have an airfoil profile at any cross-section in the shapeof the airfoil 105. The airfoil 105 also may include a leading edge 160and a trailing edge 170 and with a chord length 180 extendingtherebetween. The root 110 of the airfoil 105 corresponds to the lowestnon-dimensional Z value of scalable TABLE 1. The tip 120 of the airfoil105 corresponds to the highest non-dimensional Z value of scalableTABLE 1. An airfoil 105 may extend beyond the compressor flowpath andmay be tipped to achieve the desired endwall clearances. By way ofexample only, the airfoil may have a height from about one (1) inch toabout twenty (20) inches (about 2.54 centimeters to about 50.8centimeters) or more. Any specific airfoil height may be used herein asdesired in a specific application. Other components and otherconfigurations may be used herein.

The compressor flow path 55 requires airfoils 105 that meet systemrequirements of aerodynamic and mechanical blade/vane loading andefficiency. For example, it is desirable that the airfoils 105 aredesigned to reduce the vibratory response or vibratory stress responseof the respective blades and/or vanes. Materials such as high strengthalloys, non-corrosive alloys, and/or stainless steels may be used in theblades and/or vanes. To define the airfoil shape of each blade airfoiland/or vane airfoil, there is a unique set or loci of points in spacethat meet the stage requirements and can be manufactured. These uniqueloci of points meet the requirements for stage efficiency and may bearrived at by iteration between aerodynamic and mechanical loadings soas to enable the turbine and compressor to run in an efficient, safe,reliable, and smooth manner. These points are unique and specific to thesystem. The locus that defines the airfoil profile includes a set ofpoints with X, Y, and Z coordinates relative to a reference origincoordinate system. The three-dimensional Cartesian coordinate system ofX, Y, and Z values given in scalable TABLE 1 below defines the profileof the rotor blade airfoil at various locations along its length. Thescalable TABLE 1 lists data for a non-coated airfoil. Theenvelope/tolerance for the coordinates may be about +/−5% of the chordlength 180 in a direction normal to any airfoil surface location orabout +/−0.25 inches (about 6.36 millimeters) in a direction normal toany airfoil surface location. However, tolerances of about +/−0.15inches to about +/−0.25 inches (about 6.36 millimeters), or about +/−3%to about +/−5% in a direction normal to an airfoil surface location mayalso be used, as desired in the specific application.

A point data origin 190 may be the mid-point of the suction or pressureside of the base or tip of the airfoil, the leading edge or trailingedge of the base of the airfoil, or any other suitable location asdesired. The coordinate values for the X, Y, and Z coordinates are setforth in non-dimensionalized units in scalable TABLE 1, although otherunits of dimensions may be used when the values are appropriatelyconverted. As one example only, the Cartesian coordinate values of X, Y,and Z may be convertible to dimensional distances by multiplying the X,Y, and Z values by a constant number (e.g., 100). The number, used toconvert the non-dimensional values to dimensional distances, may be afraction (e.g., ½, ¼, etc.), decimal fraction (e.g., 0.5, 1.5, 10.25,etc.), integer (e.g., 1, 2, 10, 100, etc.), a mixed number (e.g., 11/2,101/4, etc.), and the like. The dimensional distances may be in anysuitable format (e.g., inches, feet, millimeters, centimeters, meters,etc.) As one non-limiting example only, the Cartesian coordinate systemhas orthogonally-related X, Y, and Z axes and the X axis may liegenerally parallel to the compressor rotor centerline, i.e., the rotaryaxis and a positive X coordinate value is axial toward the aft, i.e.,exhaust end of the turbine. The positive Y coordinate value extendstangentially in the direction of rotation of the rotor and the positiveZ coordinate value is radially outwardly toward the rotor blade tip orstator vane base. All the values in scalable TABLE 1 are given at roomtemperature and are unfilleted.

By defining X and Y coordinate values at selected locations in a Zdirection (or height) normal to the X, Y plane, the profile section orairfoil shape of the airfoil, at each Z height along the length of theairfoil may be ascertained. By connecting the X and Y values with smoothcontinuing arcs, each profile section at each Z height may be fixed. Theairfoil profiles of the various surface locations between each Z heightmay be determined by smoothly connecting the adjacent profile sectionsto one another to form the airfoil profile.

The values in TABLE 1 may be generated and shown from zero to four ormore decimal places for determining the profile of the airfoil. As theairfoil heats up the associated stress and temperature may cause achange in the X, Y, and Z values. Accordingly, the values for theprofile given in TABLE 1 represent ambient, non-operating or non-hotconditions (e.g., room temperature) and may be for an uncoated airfoil.

There are typical manufacturing tolerances as well as optional coatingswhich may be accounted for in the actual profile of the airfoil. Eachsection may be joined smoothly with the other sections to form thecomplete airfoil shape. It will therefore be appreciated that +/−typical manufacturing tolerances, i.e., +/− values, including anycoating thicknesses, are additive to the X and Y values given in TABLE 1below. Accordingly, a distance of about +/−5% of chord length and/or+/−0.25 inches (about 6.36 millimeters) in a direction normal to asurface location along the airfoil profile defines an airfoil profileenvelope for this particular airfoil design and compressor, i.e., arange of variation between measured points on the actual airfoil surfaceat nominal cold or room temperature and the ideal position of thosepoints as given in the TABLE 1 below at the same temperature.Additionally, a distance of about +/−5% of a chord length in a directionnormal to an airfoil surface location along the airfoil profile also maydefine an airfoil profile envelope for this particular airfoil design.The data is scalable and the geometry pertains to all aerodynamicscales, at, above and/or below about 3,000 RPM. The rotor blade airfoildesign is robust to this range of variation without impairment ofmechanical and aerodynamic functions.

The coordinate values given in scalable TABLE 1 below provide thenominal profile for exemplary stages of a compressor rotor blade.Specifically, a first stage rotor blade of, for example, a 9HA.01compressor and the like:

TABLE 1 PRESSURE SIDE SUCTION SIDE X Y Z X Y Z −6.6608 3.8034 −2.52675.6595 −0.3581 −2.5267 −6.6586 3.8051 −2.5267 5.6619 −0.3807 −2.5267−6.6542 3.8082 −2.5267 5.6616 −0.4108 −2.5267 −6.6445 3.8131 −2.52675.6558 −0.4482 −2.5267 −6.6233 3.8175 −2.5267 5.6411 −0.4908 −2.5267−6.5896 3.8152 −2.5267 5.6089 −0.5416 −2.5267 −6.5313 3.7984 −2.52675.5474 −0.5892 −2.5267 −6.4582 3.7654 −2.5267 5.4570 −0.6268 −2.5267−6.3642 3.7133 −2.5267 5.3465 −0.6711 −2.5267 −6.2505 3.6423 −2.52675.2147 −0.7227 −2.5267 −6.1054 3.5457 −2.5267 5.0600 −0.7821 −2.5267−5.9398 3.4316 −2.5267 4.8766 −0.8507 −2.5267 −5.7638 3.3090 −2.52674.6641 −0.9270 −2.5267 −5.5657 3.1709 −2.5267 4.4221 −1.0101 −2.5267−5.3457 3.0176 −2.5267 4.1500 −1.0987 −2.5267 −5.1039 2.8486 −2.52673.8469 −1.1891 −2.5267 −4.8511 2.6719 −2.5267 3.5133 −1.2771 −2.5267−4.5874 2.4874 −2.5267 3.1636 −1.3559 −2.5267 −4.3115 2.2972 −2.52672.7977 −1.4251 −2.5267 −4.0224 2.1029 −2.5267 2.4156 −1.4835 −2.5267−3.7199 1.9048 −2.5267 2.0170 −1.5289 −2.5267 −3.4034 1.7040 −2.52671.6017 −1.5587 −2.5267 −3.0717 1.5026 −2.5267 1.1691 −1.5697 −2.5267−2.7236 1.3023 −2.5267 0.7188 −1.5588 −2.5267 −2.3693 1.1122 −2.52670.2687 −1.5242 −2.5267 −2.0080 0.9340 −2.5267 −0.1755 −1.4662 −2.5267−1.6401 0.7689 −2.5267 −0.6136 −1.3849 −2.5267 −1.2663 0.6174 −2.5267−1.0456 −1.2807 −2.5267 −0.8876 0.4793 −2.5267 −1.4718 −1.1538 −2.5267−0.5042 0.3542 −2.5267 −1.8919 −1.0042 −2.5267 −0.1168 0.2425 −2.5267−2.3062 −0.8320 −2.5267 0.2739 0.1440 −2.5267 −2.7135 −0.6366 −2.52670.6667 0.0580 −2.5267 −3.1074 −0.4201 −2.5267 1.0613 −0.0162 −2.5267−3.4865 −0.1832 −2.5267 1.4574 −0.0801 −2.5267 −3.8510 0.0739 −2.52671.8418 −0.1328 −2.5267 −4.1898 0.3412 −2.5267 2.2141 −0.1754 −2.5267−4.5047 0.6163 −2.5267 2.5744 −0.2085 −2.5267 −4.7982 0.8954 −2.52672.9225 −0.2331 −2.5267 −5.0710 1.1751 −2.5267 3.2577 −0.2500 −2.5267−5.3210 1.4532 −2.5267 3.5796 −0.2611 −2.5267 −5.5525 1.7264 −2.52673.8883 −0.2674 −2.5267 −5.7657 1.9947 −2.5267 4.1703 −0.2686 −2.5267−5.9596 2.2590 −2.5267 4.4254 −0.2654 −2.5267 −6.1277 2.5051 −2.52674.6536 −0.2584 −2.5267 −6.2721 2.7318 −2.5267 4.8548 −0.2485 −2.5267−6.3940 2.9381 −2.5267 5.0290 −0.2376 −2.5267 −6.5011 3.1368 −2.52675.1764 −0.2274 −2.5267 −6.5859 3.3147 −2.5267 5.3023 −0.2178 −2.5267−6.6426 3.4555 −2.5267 5.4081 −0.2090 −2.5267 −6.6786 3.5715 −2.52675.4951 −0.2022 −2.5267 −6.6951 3.6609 −2.5267 5.5629 −0.2178 −2.5267−6.6952 3.7291 −2.5267 5.6068 −0.2496 −2.5267 −6.6863 3.7660 −2.52675.6318 −0.2817 −2.5267 −6.6750 3.7874 −2.5267 5.6470 −0.3122 −2.5267−6.6674 3.7971 −2.5267 5.6554 −0.3380 −2.5267 −6.6631 3.8014 −2.5267−6.5923 3.9165 −1.6804 5.6078 −0.5331 −1.6804 −6.5901 3.9182 −1.68045.6095 −0.5556 −1.6804 −6.5856 3.9212 −1.6804 5.6082 −0.5855 −1.6804−6.5758 3.9257 −1.6804 5.6009 −0.6223 −1.6804 −6.5545 3.9293 −1.68045.5843 −0.6639 −1.6804 −6.5210 3.9259 −1.6804 5.5493 −0.7125 −1.6804−6.4635 3.9073 −1.6804 5.4852 −0.7555 −1.6804 −6.3913 3.8724 −1.68045.3941 −0.7887 −1.6804 −6.2988 3.8184 −1.6804 5.2829 −0.8280 −1.6804−6.1866 3.7456 −1.6804 5.1502 −0.8737 −1.6804 −6.0434 3.6468 −1.68044.9946 −0.9262 −1.6804 −5.8798 3.5307 −1.6804 4.8103 −0.9868 −1.6804−5.7058 3.4062 −1.6804 4.5968 −1.0540 −1.6804 −5.5098 3.2661 −1.68044.3538 −1.1272 −1.6804 −5.2920 3.1108 −1.6804 4.0809 −1.2046 −1.6804−5.0525 2.9395 −1.6804 3.7779 −1.2827 −1.6804 −4.8025 2.7602 −1.68043.4449 −1.3573 −1.6804 −4.5416 2.5732 −1.6804 3.0961 −1.4225 −1.6804−4.2687 2.3799 −1.6804 2.7318 −1.4777 −1.6804 −3.9828 2.1822 −1.68042.3515 −1.5216 −1.6804 −3.6838 1.9801 −1.6804 1.9553 −1.5526 −1.6804−3.3710 1.7747 −1.6804 1.5428 −1.5676 −1.6804 −3.0433 1.5677 −1.68041.1138 −1.5638 −1.6804 −2.6995 1.3607 −1.6804 0.6678 −1.5382 −1.6804−2.3497 1.1632 −1.6804 0.2232 −1.4901 −1.6804 −1.9938 0.9773 −1.6804−0.2149 −1.4196 −1.6804 −1.6319 0.8039 −1.6804 −0.6467 −1.3269 −1.6804−1.2639 0.6431 −1.6804 −1.0722 −1.2124 −1.6804 −0.8905 0.4947 −1.6804−1.4914 −1.0766 −1.6804 −0.5124 0.3586 −1.6804 −1.9043 −0.9189 −1.6804−0.1297 0.2359 −1.6804 −2.3109 −0.7395 −1.6804 0.2568 0.1262 −1.6804−2.7105 −0.5374 −1.6804 0.6457 0.0292 −1.6804 −3.0964 −0.3145 −1.68041.0369 −0.0560 −1.6804 −3.4671 −0.0715 −1.6804 1.4300 −0.1308 −1.6804−3.8227 0.1910 −1.6804 1.8117 −0.1942 −1.6804 −4.1526 0.4627 −1.68042.1818 −0.2470 −1.6804 −4.4591 0.7409 −1.6804 2.5401 −0.2902 −1.6804−4.7450 1.0215 −1.6804 2.8863 −0.3245 −1.6804 −5.0121 1.3019 −1.68043.2197 −0.3508 −1.6804 −5.2584 1.5806 −1.6804 3.5401 −0.3710 −1.6804−5.4875 1.8543 −1.6804 3.8474 −0.3863 −1.6804 −5.6996 2.1227 −1.68044.1282 −0.3962 −1.6804 −5.8931 2.3871 −1.6804 4.3824 −0.4010 −1.6804−6.0612 2.6333 −1.6804 4.6100 −0.4015 −1.6804 −6.2054 2.8596 −1.68044.8107 −0.3984 −1.6804 −6.3267 3.0649 −1.6804 4.9846 −0.3937 −1.6804−6.4328 3.2617 −1.6804 5.1317 −0.3887 −1.6804 −6.5164 3.4366 −1.68045.2575 −0.3837 −1.6804 −6.5724 3.5749 −1.6804 5.3631 −0.3787 −1.6804−6.6081 3.6886 −1.6804 5.4500 −0.3752 −1.6804 −6.6248 3.7764 −1.68045.5164 −0.3931 −1.6804 −6.6255 3.8434 −1.6804 5.5585 −0.4254 −1.6804−6.6171 3.8795 −1.6804 5.5824 −0.4574 −1.6804 −6.6062 3.9008 −1.68045.5967 −0.4875 −1.6804 −6.5988 3.9103 −1.6804 5.6044 −0.5132 −1.6804−6.5945 3.9145 −1.6804 −6.5242 4.0270 −0.8341 5.5561 −0.7081 −0.8341−6.5221 4.0286 −0.8341 5.5571 −0.7304 −0.8341 −6.5176 4.0316 −0.83415.5548 −0.7598 −0.8341 −6.5076 4.0361 −0.8341 5.5461 −0.7960 −0.8341−6.4864 4.0391 −0.8341 5.5275 −0.8364 −0.8341 −6.4530 4.0349 −0.83415.4902 −0.8822 −0.8341 −6.3961 4.0152 −0.8341 5.4243 −0.9206 −0.8341−6.3246 3.9792 −0.8341 5.3326 −0.9495 −0.8341 −6.2330 3.9240 −0.83415.2209 −0.9838 −0.8341 −6.1221 3.8498 −0.8341 5.0875 −1.0235 −0.8341−5.9806 3.7495 −0.8341 4.9313 −1.0691 −0.8341 −5.8189 3.6314 −0.83414.7463 −1.1214 −0.8341 −5.6469 3.5047 −0.8341 4.5320 −1.1794 −0.8341−5.4535 3.3622 −0.8341 4.2885 −1.2424 −0.8341 −5.2386 3.2038 −0.83414.0153 −1.3085 −0.8341 −5.0022 3.0295 −0.8341 3.7127 −1.3743 −0.8341−4.7552 2.8473 −0.8341 3.3805 −1.4357 −0.8341 −4.4970 2.6576 −0.83413.0331 −1.4872 −0.8341 −4.2270 2.4616 −0.8341 2.6704 −1.5286 −0.8341−3.9444 2.2603 −0.8341 2.2924 −1.5584 −0.8341 −3.6489 2.0542 −0.83411.8989 −1.5750 −0.8341 −3.3399 1.8443 −0.8341 1.4898 −1.5755 −0.8341−3.0163 1.6320 −0.8341 1.0648 −1.5574 −0.8341 −2.6769 1.4190 −0.83410.6238 −1.5177 −0.8341 −2.3325 1.2148 −0.8341 0.1845 −1.4565 −0.8341−1.9820 1.0212 −0.8341 −0.2486 −1.3740 −0.8341 −1.6252 0.8391 −0.8341−0.6755 −1.2702 −0.8341 −1.2625 0.6692 −0.8341 −1.0962 −1.1453 −0.8341−0.8947 0.5111 −0.8341 −1.5109 −0.9994 −0.8341 −0.5217 0.3649 −0.8341−1.9191 −0.8320 −0.8341 −0.1440 0.2313 −0.8341 −2.3206 −0.6425 −0.83410.2380 0.1107 −0.8341 −2.7102 −0.4330 −0.8341 0.6231 0.0025 −0.8341−3.0854 −0.2039 −0.8341 1.0106 −0.0939 −0.8341 −3.4466 0.0446 −0.83411.4005 −0.1799 −0.8341 −3.7942 0.3118 −0.8341 1.7794 −0.2540 −0.8341−4.1177 0.5872 −0.8341 2.1470 −0.3173 −0.8341 −4.4191 0.8684 −0.83412.5033 −0.3707 −0.8341 −4.7005 1.1513 −0.8341 2.8474 −0.4148 −0.8341−4.9619 1.4318 −0.8341 3.1789 −0.4507 −0.8341 −5.2027 1.7095 −0.83413.4976 −0.4801 −0.8341 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3.5857 −5.2531 3.8109 3.5857 4.1928 −1.85563.5857 −5.0667 3.6686 3.5857 3.9545 −1.8620 3.5857 −4.8592 3.5108 3.58573.6884 −1.8649 3.5857 −4.6310 3.3372 3.5857 3.3951 −1.8623 3.5857−4.3928 3.1553 3.5857 3.0749 −1.8520 3.5857 −4.1447 2.9648 3.5857 2.7417−1.8328 3.5857 −3.8867 2.7658 3.5857 2.3960 −1.8032 3.5857 −3.61882.5582 3.5857 2.0378 −1.7616 3.5857 −3.3408 2.3424 3.5857 1.6674 −1.70633.5857 −3.0524 2.1189 3.5857 1.2851 −1.6356 3.5857 −2.7530 1.8882 3.58570.8910 −1.5477 3.5857 −2.4424 1.6508 3.5857 0.4854 −1.4403 3.5857−2.1296 1.4165 3.5857 0.0830 −1.3156 3.5857 −1.8133 1.1870 3.5857−0.3116 −1.1744 3.5857 −1.4925 0.9637 3.5857 −0.6981 −1.0169 3.5857−1.1653 0.7492 3.5857 −1.0762 −0.8426 3.5857 −0.8305 0.5454 3.5857−1.4453 −0.6507 3.5857 −0.4883 0.3523 3.5857 −1.8055 −0.4412 3.5857−0.1409 0.1692 3.5857 −2.1567 −0.2138 3.5857 0.2112 −0.0038 3.5857−2.4988 0.0318 3.5857 0.5678 −0.1668 3.5857 −2.8296 0.2921 3.5857 0.9285−0.3203 3.5857 −3.1490 0.5632 3.5857 1.2931 −0.4649 3.5857 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5.1489 −1.8349 4.2446 −6.0057 4.3837 4.2446 5.1400−1.8608 4.2446 −5.9956 4.3871 4.2446 5.1228 −1.8905 4.2446 −5.97474.3878 4.2446 5.0945 −1.9205 4.2446 −5.9428 4.3804 4.2446 5.0470 −1.94764.2446 −5.8893 4.3571 4.2446 4.9764 −1.9578 4.2446 −5.8218 4.3181 4.24464.8867 −1.9616 4.2446 −5.7356 4.2601 4.2446 4.7776 −1.9655 4.2446−5.6310 4.1834 4.2446 4.6477 −1.9692 4.2446 −5.4973 4.0805 4.2446 4.4957−1.9726 4.2446 −5.3438 3.9606 4.2446 4.3160 −1.9750 4.2446 −5.17953.8336 4.2446 4.1087 −1.9750 4.2446 −4.9939 3.6918 4.2446 3.8737 −1.97194.2446 −4.7871 3.5348 4.2446 3.6116 −1.9643 4.2446 −4.5596 3.3623 4.24463.3227 −1.9502 4.2446 −4.3223 3.1812 4.2446 3.0075 −1.9279 4.2446−4.0752 2.9914 4.2446 2.6797 −1.8966 4.2446 −3.8187 2.7928 4.2446 2.3397−1.8549 4.2446 −3.5526 2.5851 4.2446 1.9878 −1.8011 4.2446 −3.27692.3688 4.2446 1.6241 −1.7335 4.2446 −2.9913 2.1441 4.2446 1.2489 −1.65074.2446 −2.6955 1.9113 4.2446 0.8626 −1.5507 4.2446 −2.3892 1.6708 4.24460.4654 −1.4316 4.2446 −2.0814 1.4324 4.2446 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4.2446 −5.9049 3.9400 4.2446 4.8337 −1.6080 4.2446−5.9661 4.0644 4.2446 4.9340 −1.6298 4.2446 −6.0073 4.1674 4.2446 5.0165−1.6474 4.2446 −6.0298 4.2475 4.2446 5.0807 −1.6683 4.2446 −6.03694.3094 4.2446 5.1208 −1.7026 4.2446 −6.0329 4.3437 4.2446 5.1413 −1.73644.2446 −6.0247 4.3644 4.2446 5.1510 −1.7681 4.2446 −6.0182 4.3734 4.24465.1537 −1.7946 4.2446 −6.0144 4.3775 4.2446 −5.9051 4.4153 5.0909 5.0187−2.0291 5.0909 −5.9030 4.4169 5.0909 5.0141 −2.0489 5.0909 −5.89854.4196 5.0909 5.0039 −2.0738 5.0909 −5.8886 4.4228 5.0909 4.9851 −2.10185.0909 −5.8678 4.4228 5.0909 4.9549 −2.1287 5.0909 −5.8364 4.4147 5.09094.9056 −2.1502 5.0909 −5.7838 4.3906 5.0909 4.8352 −2.1535 5.0909−5.7175 4.3508 5.0909 4.7469 −2.1527 5.0909 −5.6329 4.2923 5.0909 4.6395−2.1510 5.0909 −5.5300 4.2150 5.0909 4.5118 −2.1481 5.0909 −5.39864.1117 5.0909 4.3623 −2.1436 5.0909 −5.2473 3.9918 5.0909 4.1857 −2.13665.0909 −5.0850 3.8652 5.0909 3.9822 −2.1259 5.0909 −4.9014 3.7242 5.09093.7516 −2.1107 5.0909 −4.6965 3.5684 5.0909 3.4946 −2.0896 5.0909−4.4711 3.3973 5.0909 3.2117 −2.0610 5.0909 −4.2361 3.2175 5.0909 2.9030−2.0230 5.0909 −3.9915 3.0288 5.0909 2.5823 −1.9758 5.0909 −3.73802.8309 5.0909 2.2498 −1.9180 5.0909 −3.4755 2.6235 5.0909 1.9059 −1.84785.0909 −3.2040 2.4069 5.0909 1.5509 −1.7638 5.0909 −2.9232 2.1812 5.09091.1850 −1.6646 5.0909 −2.6332 1.9466 5.0909 0.8086 −1.5483 5.0909−2.3336 1.7030 5.0909 0.4237 −1.4138 5.0909 −2.0336 1.4603 5.0909 0.0462−1.2650 5.0909 −1.7315 1.2201 5.0909 −0.3237 −1.1020 5.0909 −1.42530.9850 5.0909 −0.6861 −0.9245 5.0909 −1.1135 0.7572 5.0909 −1.0407−0.7320 5.0909 −0.7953 0.5385 5.0909 −1.3870 −0.5238 5.0909 −0.47070.3293 5.0909 −1.7250 −0.2997 5.0909 −0.1408 0.1288 5.0909 −2.0545−0.0595 5.0909 0.1942 −0.0634 5.0909 −2.3741 0.1955 5.0909 0.5339−0.2468 5.0909 −2.6837 0.4617 5.0909 0.8778 −0.4216 5.0909 −2.98540.7366 5.0909 1.2256 −0.5883 5.0909 −3.2811 1.0182 5.0909 1.5654 −0.74205.0909 −3.5618 1.2961 5.0909 1.8968 −0.8836 5.0909 −3.8277 1.5697 5.09092.2188 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4.4614 5.9372 4.8044 −2.32815.9372 −5.7296 4.4524 5.9372 4.7531 −2.3423 5.9372 −5.6779 4.4274 5.93724.6833 −2.3395 5.9372 −5.6128 4.3868 5.9372 4.5960 −2.3346 5.9372−5.5297 4.3276 5.9372 4.4899 −2.3277 5.9372 −5.4286 4.2497 5.9372 4.3639−2.3187 5.9372 −5.2992 4.1459 5.9372 4.2165 −2.3072 5.9372 −5.15024.0256 5.9372 4.0423 −2.2918 5.9372 −4.9898 3.8991 5.9372 3.8416 −2.27155.9372 −4.8082 3.7585 5.9372 3.6147 −2.2453 5.9372 −4.6054 3.6033 5.93723.3619 −2.2118 5.9372 −4.3822 3.4330 5.9372 3.0838 −2.1694 5.9372−4.1495 3.2539 5.9372 2.7805 −2.1166 5.9372 −3.9077 3.0657 5.9372 2.4657−2.0539 5.9372 −3.6573 2.8679 5.9372 2.1396 −1.9799 5.9372 −3.39862.6601 5.9372 1.8027 −1.8932 5.9372 −3.1314 2.4427 5.9372 1.4551 −1.79225.9372 −2.8556 2.2155 5.9372 1.0973 −1.6756 5.9372 −2.5712 1.9787 5.93720.7311 −1.5422 5.9372 −2.2782 1.7321 5.9372 0.3589 −1.3910 5.9372−1.9856 1.4852 5.9372 −0.0063 −1.2261 5.9372 −1.6918 1.2398 5.9372−0.3644 −1.0473 5.9372 −1.3946 0.9985 5.9372 −0.7154 −0.8544 5.9372−1.0925 0.7636 5.9372 −1.0588 −0.6469 5.9372 −0.7842 0.5365 5.9372−1.3944 −0.4238 5.9372 −0.4701 0.3180 5.9372 −1.7208 −0.1865 5.9372−0.1506 0.1072 5.9372 −2.0354 0.0627 5.9372 0.1737 −0.0959 5.9372−2.3393 0.3227 5.9372 0.5026 −0.2908 5.9372 −2.6343 0.5913 5.9372 0.8362−0.4779 5.9372 −2.9231 0.8662 5.9372 1.1740 −0.6574 5.9372 −3.20731.1456 5.9372 1.5043 −0.8238 5.9372 −3.4778 1.4199 5.9372 1.8263 −0.97775.9372 −3.7352 1.6884 5.9372 2.1394 −1.1201 5.9372 −3.9804 1.9503 5.93722.4433 −1.2522 5.9372 −4.2140 2.2050 5.9372 2.7375 −1.3746 5.9372−4.4359 2.4527 5.9372 3.0219 −1.4878 5.9372 −4.6465 2.6930 5.9372 3.2960−1.5922 5.9372 −4.8464 2.9249 5.9372 3.5477 −1.6841 5.9372 −5.03483.1497 5.9372 3.7763 −1.7645 5.9372 −5.2031 3.3570 5.9372 3.9816 −1.83435.9372 −5.3514 3.5467 5.9372 4.1632 −1.8944 5.9372 −5.4787 3.7190 5.93724.3211 −1.9453 5.9372 −5.5917 3.8851 5.9372 4.4549 −1.9875 5.9372−5.6821 4.0338 5.9372 4.5693 −2.0233 5.9372 −5.7444 4.1524 5.9372 4.6657−2.0530 5.9372 −5.7866 4.2508 5.9372 4.7449 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20.7496−4.2962 6.0567 20.7496 2.4208 −5.1857 20.7496 −4.2073 5.8959 20.74962.3108 −5.0734 20.7496 −4.1035 5.7109 20.7496 2.1825 −4.9390 20.7496−3.9914 5.5145 20.7496 2.0377 −4.7812 20.7496 −3.8636 5.2945 20.74961.8800 −4.5978 20.7496 −3.7193 5.0513 20.7496 1.7108 −4.3877 20.7496−3.5585 4.7851 20.7496 1.5303 −4.1508 20.7496 −3.3886 4.5078 20.74961.3387 −3.8869 20.7496 −3.2093 4.2196 20.7496 1.1445 −3.6075 20.7496−3.0214 3.9203 20.7496 0.9484 −3.3119 20.7496 −2.8251 3.6095 20.74960.7502 −3.0004 20.7496 −2.6207 3.2871 20.7496 0.5493 −2.6735 20.7496−2.4086 2.9529 20.7496 0.3446 −2.3318 20.7496 −2.1889 2.6067 20.74960.1351 −1.9766 20.7496 −1.9618 2.2484 20.7496 −0.0807 −1.6086 20.7496−1.7350 1.8901 20.7496 −0.2968 −1.2408 20.7496 −1.5085 1.5314 20.7496−0.5139 −0.8734 20.7496 −1.2826 1.1724 20.7496 −0.7320 −0.5067 20.7496−1.0573 0.8130 20.7496 −0.9511 −0.1407 20.7496 −0.8332 0.4529 20.7496−1.1707 0.2251 20.7496 −0.6105 0.0920 20.7496 −1.3902 0.5909 20.7496−0.3897 −0.2701 20.7496 −1.6096 0.9569 20.7496 −0.1710 −0.6336 20.7496−1.8283 1.3231 20.7496 0.0453 −0.9984 20.7496 −2.0461 1.6901 20.74960.2595 −1.3645 20.7496 −2.2629 2.0575 20.7496 0.4722 −1.7314 20.7496−2.4784 2.4258 20.7496 0.6773 −2.0864 20.7496 −2.6856 2.7823 20.74960.8765 −2.4284 20.7496 −2.8849 3.1271 20.7496 1.0708 −2.7569 20.7496−3.0758 3.4602 20.7496 1.2606 −3.0716 20.7496 −3.2583 3.7819 20.74961.4459 −3.3724 20.7496 −3.4323 4.0918 20.7496 1.6267 −3.6595 20.7496−3.5975 4.3905 20.7496 1.8035 −3.9323 20.7496 −3.7532 4.6782 20.74961.9684 −4.1793 20.7496 −3.9001 4.9544 20.7496 2.1194 −4.4016 20.7496−4.0312 5.2069 20.7496 2.2555 −4.5997 20.7496 −4.1473 5.4350 20.74962.3760 −4.7742 20.7496 −4.2489 5.6387 20.7496 2.4816 −4.9247 20.7496−4.3422 5.8305 20.7496 2.5726 −5.0509 20.7496 −4.4197 5.9984 20.74962.6507 −5.1584 20.7496 −4.4755 6.1292 20.7496 2.7158 −5.2492 20.7496−4.5162 6.2355 20.7496 2.7690 −5.3241 20.7496 −4.5429 6.3164 20.74962.8111 −5.3844 20.7496 −4.5591 6.3784 20.7496 2.8433 −5.4309 20.7496−4.5649 6.4134 20.7496 2.8673 −5.4658 20.7496 −4.5655 6.4362 20.74962.8870 −5.4952 20.7496 −4.5630 6.4473 20.7496 2.8909 −5.5227 20.7496−4.5600 6.4521 20.7496 −4.5602 6.5718 21.1732 2.7909 −5.6095 21.1732−4.5574 6.5724 21.1732 2.7724 −5.6198 21.1732 −4.5520 6.5708 21.17322.7452 −5.6140 21.1732 −4.5427 6.5641 21.1732 2.7168 −5.5917 21.1732−4.5271 6.5475 21.1732 2.6833 −5.5643 21.1732 −4.5053 6.5193 21.17322.6392 −5.5271 21.1732 −4.4697 6.4658 21.1732 2.5825 −5.4779 21.1732−4.4257 6.3926 21.1732 2.5127 −5.4152 21.1732 −4.3699 6.2933 21.17322.4300 −5.3371 21.1732 −4.3020 6.1679 21.1732 2.3347 −5.2409 21.1732−4.2137 6.0051 21.1732 2.2265 −5.1253 21.1732 −4.1105 5.8180 21.17322.1004 −4.9867 21.1732 −3.9988 5.6192 21.1732 1.9587 −4.8240 21.1732−3.8711 5.3967 21.1732 1.8054 −4.6344 21.1732 −3.7269 5.1509 21.17321.6410 −4.4178 21.1732 −3.5660 4.8818 21.1732 1.4657 −4.1741 21.1732−3.3957 4.6017 21.1732 1.2801 −3.9030 21.1732 −3.2161 4.3107 21.17321.0926 −3.6158 21.1732 −3.0278 4.0082 21.1732 0.9029 −3.3129 21.1732−2.8313 3.6941 21.1732 0.7107 −2.9944 21.1732 −2.6266 3.3683 21.17320.5151 −2.6610 21.1732 −2.4143 3.0304 21.1732 0.3153 −2.3132 21.1732−2.1946 2.6804 21.1732 0.1099 −1.9521 21.1732 −1.9677 2.3181 21.1732−0.1022 −1.5784 21.1732 −1.7409 1.9557 21.1732 −0.3156 −1.2053 21.1732−1.5147 1.5929 21.1732 −0.5304 −0.8332 21.1732 −1.2891 1.2297 21.1732−0.7467 −0.4619 21.1732 −1.0644 0.8660 21.1732 −0.9642 −0.0913 21.1732−0.8409 0.5015 21.1732 −1.1827 0.2788 21.1732 −0.6192 0.1360 21.1732−1.4013 0.6487 21.1732 −0.3997 −0.2308 21.1732 −1.6199 1.0188 21.1732−0.1828 −0.5992 21.1732 −1.8378 1.3891 21.1732 0.0314 −0.9693 21.1732−2.0551 1.7600 21.1732 0.2428 −1.3407 21.1732 −2.2713 2.1314 21.17320.4522 −1.7134 21.1732 −2.4864 2.5034 21.1732 0.6534 −2.0744 21.1732−2.6933 2.8636 21.1732 0.8479 −2.4228 21.1732 −2.8922 3.2120 21.17321.0367 −2.7579 21.1732 −3.0828 3.5484 21.1732 1.2206 −3.0795 21.1732−3.2649 3.8734 21.1732 1.3996 −3.3875 21.1732 −3.4388 4.1864 21.17321.5741 −3.6817 21.1732 −3.6038 4.4881 21.1732 1.7445 −3.9617 21.1732−3.7591 4.7786 21.1732 1.9032 −4.2154 21.1732 −3.9056 5.0577 21.17322.0494 −4.4434 21.1732 −4.0361 5.3127 21.1732 2.1816 −4.6464 21.1732−4.1516 5.5433 21.1732 2.2986 −4.8253 21.1732 −4.2525 5.7491 21.17322.4010 −4.9796 21.1732 −4.3451 5.9430 21.1732 2.4896 −5.1091 21.1732−4.4223 6.1125 21.1732 2.5657 −5.2193 21.1732 −4.4778 6.2446 21.17322.6294 −5.3120 21.1732 −4.5182 6.3518 21.1732 2.6814 −5.3887 21.1732−4.5450 6.4334 21.1732 2.7228 −5.4503 21.1732 −4.5612 6.4958 21.17322.7544 −5.4977 21.1732 −4.5671 6.5312 21.1732 2.7780 −5.5334 21.1732−4.5678 6.5540 21.1732 2.7974 −5.5633 21.1732 −4.5655 6.5652 21.17322.8009 −5.5910 21.1732 −4.5626 6.5701 21.1732 −4.5595 6.7187 21.64282.6695 −5.6953 21.6428 −4.5566 6.7193 21.6428 2.6511 −5.7053 21.6428−4.5511 6.7174 21.6428 2.6239 −5.6989 21.6428 −4.5420 6.7104 21.64282.5958 −5.6757 21.6428 −4.5267 6.6931 21.6428 2.5625 −5.6473 21.6428−4.5054 6.6641 21.6428 2.5188 −5.6087 21.6428 −4.4705 6.6095 21.64282.4628 −5.5576 21.6428 −4.4274 6.5348 21.6428 2.3940 −5.4926 21.6428−4.3726 6.4336 21.6428 2.3124 −5.4114 21.6428 −4.3058 6.3061 21.64282.2190 −5.3117 21.6428 −4.2182 6.1408 21.6428 2.1132 −5.1916 21.6428−4.1156 5.9509 21.6428 1.9902 −5.0479 21.6428 −4.0044 5.7493 21.64281.8529 −4.8787 21.6428 −3.8768 5.5239 21.6428 1.7060 −4.6814 21.6428−3.7324 5.2749 21.6428 1.5490 −4.4564 21.6428 −3.5710 5.0026 21.64281.3815 −4.2038 21.6428 −3.4002 4.7191 21.6428 1.2052 −3.9228 21.6428−3.2198 4.4245 21.6428 1.0277 −3.6255 21.6428 −3.0309 4.1184 21.64280.8479 −3.3126 21.6428 −2.8337 3.8004 21.6428 0.6647 −2.9849 21.6428−2.6287 3.4705 21.6428 0.4767 −2.6430 21.6428 −2.4160 3.1282 21.64280.2833 −2.2875 21.6428 −2.1961 2.7735 21.6428 0.0835 −1.9191 21.6428−1.9690 2.4064 21.6428 −0.1242 −1.5386 21.6428 −1.7423 2.0390 21.6428−0.3337 −1.1591 21.6428 −1.5163 1.6712 21.6428 −0.5456 −0.7809 21.6428−1.2912 1.3028 21.6428 −0.7596 −0.4038 21.6428 −1.0672 0.9338 21.6428−0.9753 −0.0277 21.6428 −0.8448 0.5637 21.6428 −1.1921 0.3476 21.6428−0.6245 0.1925 21.6428 −1.4096 0.7228 21.6428 −0.4067 −0.1803 21.6428−1.6272 1.0977 21.6428 −0.1921 −0.5549 21.6428 −1.8445 1.4729 21.64280.0189 −0.9315 21.6428 −2.0611 1.8485 21.6428 0.2266 −1.3098 21.6428−2.2769 2.2245 21.6428 0.4313 −1.6898 21.6428 −2.4918 2.6011 21.64280.6271 −2.0583 21.6428 −2.6986 2.9657 21.6428 0.8147 −2.4148 21.6428−2.8974 3.3182 21.6428 0.9952 −2.7587 21.6428 −3.0879 3.6587 21.64281.1698 −3.0896 21.6428 −3.2698 3.9875 21.6428 1.3394 −3.4068 21.6428−3.4436 4.3042 21.6428 1.5042 −3.7102 21.6428 −3.6085 4.6094 21.64281.6649 −3.9993 21.6428 −3.7636 4.9034 21.6428 1.8146 −4.2617 21.6428−3.9097 5.1858 21.6428 1.9537 −4.4970 21.6428 −4.0397 5.4440 21.64282.0805 −4.7061 21.6428 −4.1544 5.6775 21.6428 2.1925 −4.8906 21.6428−4.2543 5.8861 21.6428 2.2909 −5.0497 21.6428 −4.3460 6.0825 21.64282.3763 −5.1830 21.6428 −4.4224 6.2542 21.6428 2.4502 −5.2962 21.6428−4.4773 6.3879 21.6428 2.5123 −5.3914 21.6428 −4.5174 6.4963 21.64282.5631 −5.4701 21.6428 −4.5438 6.5790 21.6428 2.6034 −5.5330 21.6428−4.5599 6.6419 21.6428 2.6343 −5.5816 21.6428 −4.5659 6.6776 21.64282.6572 −5.6181 21.6428 −4.5668 6.7007 21.6428 2.6763 −5.6486 21.6428−4.5646 6.7119 21.6428 2.6797 −5.6766 21.6428 −4.5618 6.7170 21.6428−4.5502 6.8919 22.1132 2.5323 −5.7894 22.1132 −4.5474 6.8924 22.11322.5131 −5.7994 22.1132 −4.5420 6.8902 22.1132 2.4857 −5.7914 22.1132−4.5330 6.8827 22.1132 2.4577 −5.7674 22.1132 −4.5180 6.8649 22.11322.4245 −5.7380 22.1132 −4.4972 6.8350 22.1132 2.3811 −5.6981 22.1132−4.4633 6.7790 22.1132 2.3255 −5.6452 22.1132 −4.4214 6.7024 22.11322.2572 −5.5777 22.1132 −4.3681 6.5989 22.1132 2.1767 −5.4937 22.1132−4.3025 6.4689 22.1132 2.0848 −5.3903 22.1132 −4.2163 6.3006 22.11321.9812 −5.2658 22.1132 −4.1146 6.1075 22.1132 1.8610 −5.1166 22.1132−4.0039 5.9025 22.1132 1.7275 −4.9411 22.1132 −3.8765 5.6735 22.11321.5863 −4.7364 22.1132 −3.7317 5.4210 22.1132 1.4366 −4.5028 22.1132−3.5695 5.1450 22.1132 1.2777 −4.2409 22.1132 −3.3977 4.8578 22.11321.1114 −3.9495 22.1132 −3.2164 4.5592 22.1132 0.9450 −3.6415 22.1132−3.0265 4.2489 22.1132 0.7764 −3.3179 22.1132 −2.8287 3.9263 22.11320.6040 −2.9795 22.1132 −2.6229 3.5915 22.1132 0.4262 −2.6274 22.1132−2.4098 3.2442 22.1132 0.2422 −2.2622 22.1132 −2.1895 2.8842 22.11320.0507 −1.8843 22.1132 −1.9621 2.5114 22.1132 −0.1497 −1.4947 22.1132−1.7355 2.1382 22.1132 −0.3532 −1.1068 22.1132 −1.5100 1.7645 22.1132−0.5600 −0.7207 22.1132 −1.2858 1.3897 22.1132 −0.7698 −0.3362 22.1132−1.0634 1.0141 22.1132 −0.9821 0.0470 22.1132 −0.8431 0.6370 22.1132−1.1964 0.4291 22.1132 −0.6255 0.2585 22.1132 −1.4119 0.8104 22.1132−0.4113 −0.1220 22.1132 −1.6280 1.1915 22.1132 −0.2012 −0.5048 22.1132−1.8443 1.5724 22.1132 0.0043 −0.8899 22.1132 −2.0603 1.9536 22.11320.2054 −1.2771 22.1132 −2.2759 2.3349 22.1132 0.4026 −1.6664 22.1132−2.4908 2.7167 22.1132 0.5899 −2.0444 22.1132 −2.6976 3.0862 22.11320.7679 −2.4108 22.1132 −2.8965 3.4435 22.1132 0.9379 −2.7648 22.1132−3.0871 3.7886 22.1132 1.1018 −3.1058 22.1132 −3.2690 4.1218 22.11321.2604 −3.4330 22.1132 −3.4430 4.4428 22.1132 1.4149 −3.7461 22.1132−3.6079 4.7521 22.1132 1.5657 −4.0447 22.1132 −3.7630 5.0500 22.11321.7067 −4.3156 22.1132 −3.9089 5.3361 22.1132 1.8389 −4.5584 22.1132−4.0383 5.5980 22.1132 1.9602 −4.7741 22.1132 −4.1520 5.8350 22.11322.0676 −4.9642 22.1132 −4.2507 6.0468 22.1132 2.1622 −5.1279 22.1132−4.3408 6.2464 22.1132 2.2451 −5.2648 22.1132 −4.4157 6.4209 22.11322.3173 −5.3810 22.1132 −4.4696 6.5566 22.1132 2.3781 −5.4787 22.1132−4.5089 6.6666 22.1132 2.4278 −5.5591 22.1132 −4.5347 6.7504 22.11322.4675 −5.6236 22.1132 −4.5505 6.8142 22.1132 2.4977 −5.6733 22.1132−4.5564 6.8502 22.1132 2.5204 −5.7106 22.1132 −4.5573 6.8735 22.11322.5392 −5.7418 22.1132 −4.5554 6.8850 22.1132 2.5429 −5.7702 22.1132−4.5525 6.8901 22.1132 −4.5275 7.0322 22.4422 2.4316 −5.8579 22.4422−4.5246 7.0326 22.4422 2.4123 −5.8677 22.4422 −4.5192 7.0302 22.44222.3848 −5.8594 22.4422 −4.5104 7.0224 22.4422 2.3568 −5.8348 22.4422−4.4957 7.0041 22.4422 2.3237 −5.8048 22.4422 −4.4754 6.9734 22.44222.2803 −5.7640 22.4422 −4.4424 6.9163 22.4422 2.2248 −5.7099 22.4422−4.4017 6.8382 22.4422 2.1570 −5.6409 22.4422 −4.3497 6.7328 22.44222.0769 −5.5550 22.4422 −4.2855 6.6007 22.4422 1.9859 −5.4492 22.4422−4.2006 6.4298 22.4422 1.8837 −5.3217 22.4422 −4.1001 6.2338 22.44221.7652 −5.1690 22.4422 −3.9902 6.0261 22.4422 1.6342 −4.9895 22.4422−3.8634 5.7942 22.4422 1.4965 −4.7800 22.4422 −3.7186 5.5389 22.44221.3517 −4.5408 22.4422 −3.5561 5.2598 22.4422 1.1988 −4.2726 22.4422−3.3839 4.9695 22.4422 1.0394 −3.9743 22.4422 −3.2019 4.6677 22.44220.8803 −3.6590 22.4422 −3.0117 4.3539 22.4422 0.7193 −3.3280 22.4422−2.8136 4.0276 22.4422 0.5545 −2.9823 22.4422 −2.6078 3.6888 22.44220.3842 −2.6228 22.4422 −2.3947 3.3373 22.4422 0.2072 −2.2502 22.4422−2.1747 2.9728 22.4422 0.0225 −1.8650 22.4422 −1.9478 2.5953 22.4422−0.1715 −1.4681 22.4422 −1.7221 2.2171 22.4422 −0.3692 −1.0731 22.4422−1.4979 1.8379 22.4422 −0.5707 −0.6801 22.4422 −1.2758 1.4577 22.4422−0.7757 −0.2889 22.4422 −1.0558 1.0761 22.4422 −0.9840 0.1006 22.4422−0.8385 0.6930 22.4422 −1.1947 0.4887 22.4422 −0.6246 0.3080 22.4422−1.4075 0.8760 22.4422 −0.4148 −0.0793 22.4422 −1.6214 1.2625 22.4422−0.2097 −0.4691 22.4422 −1.8361 1.6487 22.4422 −0.0097 −0.8614 22.4422−2.0509 2.0348 22.4422 0.1856 −1.2559 22.4422 −2.2657 2.4209 22.44220.3763 −1.6527 22.4422 −2.4801 2.8072 22.4422 0.5567 −2.0380 22.4422−2.6868 3.1810 22.4422 0.7275 −2.4117 22.4422 −2.8856 3.5422 22.44220.8902 −2.7730 22.4422 −3.0761 3.8913 22.4422 1.0464 −3.1211 22.4422−3.2579 4.2284 22.4422 1.1977 −3.4553 22.4422 −3.4318 4.5529 22.44221.3451 −3.7750 22.4422 −3.5966 4.8656 22.4422 1.4892 −4.0802 22.4422−3.7513 5.1669 22.4422 1.6246 −4.3569 22.4422 −3.8968 5.4563 22.44221.7522 −4.6049 22.4422 −4.0255 5.7213 22.4422 1.8697 −4.8252 22.4422−4.1380 5.9613 22.4422 1.9740 −5.0191 22.4422 −4.2352 6.1761 22.44222.0664 −5.1861 22.4422 −4.3237 6.3785 22.4422 2.1479 −5.3255 22.4422−4.3972 6.5553 22.4422 2.2191 −5.4438 22.4422 −4.4498 6.6929 22.44222.2791 −5.5431 22.4422 −4.4880 6.8044 22.4422 2.3284 −5.6248 22.4422−4.5131 6.8892 22.4422 2.3676 −5.6903 22.4422 −4.5282 6.9536 22.44222.3976 −5.7407 22.4422 −4.5338 6.9901 22.4422 2.4201 −5.7787 22.4422−4.5346 7.0136 22.4422 2.4387 −5.8104 22.4422 −4.5327 7.0252 22.44222.4422 −5.8388 22.4422 −4.5299 7.0304 22.4422 −4.4732 7.2352 22.86582.3002 −5.9468 22.8658 −4.4702 7.2356 22.8658 2.2805 −5.9567 22.8658−4.4648 7.2329 22.8658 2.2529 −5.9476 22.8658 −4.4562 7.2246 22.86582.2249 −5.9224 22.8658 −4.4420 7.2056 22.8658 2.1917 −5.8916 22.8658−4.4226 7.1739 22.8658 2.1484 −5.8498 22.8658 −4.3909 7.1150 22.86582.0930 −5.7942 22.8658 −4.3519 7.0349 22.8658 2.0255 −5.7235 22.8658−4.3020 6.9269 22.8658 1.9460 −5.6353 22.8658 −4.2399 6.7920 22.86581.8560 −5.5265 22.8658 −4.1571 6.6174 22.8658 1.7554 −5.3953 22.8658−4.0585 6.4175 22.8658 1.6388 −5.2384 22.8658 −3.9502 6.2059 22.86581.5106 −5.0539 22.8658 −3.8244 5.9699 22.8658 1.3770 −4.8386 22.8658−3.6801 5.7103 22.8658 1.2379 −4.5926 22.8658 −3.5177 5.4267 22.86581.0924 −4.3165 22.8658 −3.3453 5.1315 22.8658 0.9416 −4.0095 22.8658−3.1634 4.8249 22.8658 0.7916 −3.6854 22.8658 −2.9734 4.5058 22.86580.6400 −3.3452 22.8658 −2.7758 4.1738 22.8658 0.4848 −2.9902 22.8658−2.5709 3.8289 22.8658 0.3241 −2.6213 22.8658 −2.3592 3.4708 22.86580.1567 −2.2392 22.8658 −2.1410 3.0993 22.8658 −0.0187 −1.8442 22.8658−1.9166 2.7142 22.8658 −0.2035 −1.4374 22.8658 −1.6939 2.3281 22.8658−0.3925 −1.0324 22.8658 −1.4735 1.9408 22.8658 −0.5858 −0.6296 22.8658−1.2556 1.5518 22.8658 −0.7830 −0.2287 22.8658 −1.0408 1.1613 22.8658−0.9842 0.1705 22.8658 −0.8295 0.7689 22.8658 −1.1885 0.5680 22.8658−0.6223 0.3743 22.8658 −1.3955 0.9644 22.8658 −0.4199 −0.0229 22.8658−1.6046 1.3596 22.8658 −0.2227 −0.4226 22.8658 −1.8153 1.7541 22.8658−0.0310 −0.8249 22.8658 −2.0269 2.1481 22.8658 0.1555 −1.2295 22.8658−2.2390 2.5418 22.8658 0.3370 −1.6363 22.8658 −2.4512 2.9354 22.86580.5081 −2.0314 22.8658 −2.6563 3.3160 22.8658 0.6694 −2.4147 22.8658−2.8539 3.6837 22.8658 0.8225 −2.7853 22.8658 −3.0433 4.0388 22.86580.9693 −3.1424 22.8658 −3.2242 4.3815 22.8658 1.1114 −3.4855 22.8658−3.3975 4.7114 22.8658 1.2499 −3.8139 22.8658 −3.5617 5.0293 22.86581.3860 −4.1272 22.8658 −3.7154 5.3357 22.8658 1.5146 −4.4115 22.8658−3.8597 5.6301 22.8658 1.6365 −4.6660 22.8658 −3.9868 5.8999 22.86581.7495 −4.8920 22.8658 −4.0973 6.1445 22.8658 1.8502 −5.0908 22.8658−4.1922 6.3633 22.8658 1.9399 −5.2618 22.8658 −4.2780 6.5699 22.86582.0197 −5.4045 22.8658 −4.3492 6.7501 22.8658 2.0900 −5.5252 22.8658−4.4001 6.8903 22.8658 2.1493 −5.6264 22.8658 −4.4367 7.0038 22.86582.1981 −5.7098 22.8658 −4.4605 7.0901 22.8658 2.2370 −5.7765 22.8658−4.4748 7.1556 22.8658 2.2668 −5.8280 22.8658 −4.4798 7.1925 22.86582.2890 −5.8666 22.8658 −4.4804 7.2164 22.8658 2.3074 −5.8989 22.8658−4.4783 7.2282 22.8658 2.3109 −5.9277 22.8658 −4.4755 7.2334 22.8658−4.3995 7.4549 23.2885 2.1689 −6.0359 23.2885 −4.3965 7.4551 23.28852.1489 −6.0457 23.2885 −4.3913 7.4521 23.2885 2.1211 −6.0366 23.2885−4.3829 7.4434 23.2885 2.0930 −6.0108 23.2885 −4.3693 7.4236 23.28852.0599 −5.9792 23.2885 −4.3507 7.3908 23.2885 2.0166 −5.9362 23.2885−4.3207 7.3301 23.2885 1.9614 −5.8792 23.2885 −4.2836 7.2477 23.28851.8941 −5.8065 23.2885 −4.2361 7.1372 23.2885 1.8152 −5.7159 23.2885−4.1762 6.9990 23.2885 1.7262 −5.6041 23.2885 −4.0957 6.8207 23.28851.6271 −5.4691 23.2885 −3.9990 6.6166 23.2885 1.5125 −5.3079 23.2885−3.8922 6.4008 23.2885 1.3868 −5.1184 23.2885 −3.7675 6.1604 23.28851.2570 −4.8974 23.2885 −3.6236 5.8961 23.2885 1.1232 −4.6448 23.2885−3.4615 5.6075 23.2885 0.9845 −4.3610 23.2885 −3.2897 5.3073 23.28850.8418 −4.0455 23.2885 −3.1083 4.9950 23.2885 0.7005 −3.7126 23.2885−2.9191 4.6699 23.2885 0.5578 −3.3635 23.2885 −2.7228 4.3315 23.28850.4118 −2.9994 23.2885 −2.5199 3.9795 23.2885 0.2604 −2.6211 23.2885−2.3108 3.6139 23.2885 0.1025 −2.2292 23.2885 −2.0956 3.2343 23.2885−0.0634 −1.8244 23.2885 −1.8750 2.8406 23.2885 −0.2388 −1.4072 23.2885−1.6568 2.4453 23.2885 −0.4185 −0.9919 23.2885 −1.4416 2.0485 23.2885−0.6026 −0.5785 23.2885 −1.2297 1.6499 23.2885 −0.7911 −0.1671 23.2885−1.0215 1.2494 23.2885 −0.9837 0.2425 23.2885 −0.8175 0.8467 23.2885−1.1801 0.6506 23.2885 −0.6185 0.4415 23.2885 −1.3798 1.0572 23.2885−0.4246 0.0337 23.2885 −1.5825 1.4622 23.2885 −0.2365 −0.3766 23.2885−1.7874 1.8661 23.2885 −0.0539 −0.7894 23.2885 −1.9941 2.2691 23.28850.1234 −1.2043 23.2885 −2.2019 2.6716 23.2885 0.2955 −1.6214 23.2885−2.4104 3.0736 23.2885 0.4570 −2.0264 23.2885 −2.6124 3.4620 23.28850.6089 −2.4191 23.2885 −2.8077 3.8370 23.2885 0.7528 −2.7989 23.2885−2.9952 4.1989 23.2885 0.8905 −3.1648 23.2885 −3.1746 4.5481 23.28851.0237 −3.5165 23.2885 −3.3466 4.8840 23.2885 1.1538 −3.8531 23.2885−3.5097 5.2076 23.2885 1.2821 −4.1743 23.2885 −3.6620 5.5197 23.28851.4043 −4.4655 23.2885 −3.8049 5.8196 23.2885 1.5209 −4.7264 23.2885−3.9304 6.0943 23.2885 1.6297 −4.9580 23.2885 −4.0387 6.3435 23.28851.7271 −5.1616 23.2885 −4.1311 6.5668 23.2885 1.8144 −5.3367 23.2885−4.2140 6.7775 23.2885 1.8927 −5.4826 23.2885 −4.2827 6.9614 23.28851.9619 −5.6060 23.2885 −4.3316 7.1043 23.2885 2.0207 −5.7094 23.2885−4.3667 7.2199 23.2885 2.0691 −5.7945 23.2885 −4.3891 7.3076 23.28852.1076 −5.8627 23.2885 −4.4022 7.3744 23.2885 2.1371 −5.9151 23.2885−4.4067 7.4118 23.2885 2.1591 −5.9546 23.2885 −4.4069 7.4359 23.28852.1773 −5.9875 23.2885 −4.4047 7.4478 23.2885 2.1803 −6.0168 23.2885−4.4019 7.4531 23.2885 −4.3193 7.6813 23.7121 2.0372 −6.1255 23.7121−4.3163 7.6813 23.7121 2.0167 −6.1354 23.7121 −4.3111 7.6780 23.71211.9882 −6.1269 23.7121 −4.3032 7.6687 23.7121 1.9599 −6.1005 23.7121−4.2901 7.6480 23.7121 1.9267 −6.0681 23.7121 −4.2725 7.6142 23.71211.8835 −6.0239 23.7121 −4.2442 7.5517 23.7121 1.8285 −5.9652 23.7121−4.2092 7.4671 23.7121 1.7617 −5.8904 23.7121 −4.1642 7.3537 23.71211.6835 −5.7971 23.7121 −4.1063 7.2126 23.7121 1.5958 −5.6820 23.7121−4.0278 7.0305 23.7121 1.4985 −5.5432 23.7121 −3.9329 6.8223 23.71211.3860 −5.3772 23.7121 −3.8272 6.6023 23.7121 1.2631 −5.1825 23.7121−3.7032 6.3575 23.7121 1.1369 −4.9557 23.7121 −3.5598 6.0886 23.71211.0081 −4.6964 23.7121 −3.3979 5.7949 23.7121 0.8758 −4.4051 23.7121−3.2263 5.4891 23.7121 0.7409 −4.0813 23.7121 −3.0457 5.1708 23.71210.6082 −3.7397 23.7121 −2.8576 4.8392 23.7121 0.4746 −3.3816 23.7121−2.6630 4.4940 23.7121 0.3379 −3.0083 23.7121 −2.4624 4.1345 23.71210.1960 −2.6206 23.7121 −2.2562 3.7607 23.7121 0.0474 −2.2190 23.7121−2.0448 3.3723 23.7121 −0.1091 −1.8042 23.7121 −1.8287 2.9692 23.7121−0.2751 −1.3767 23.7121 −1.6157 2.5644 23.7121 −0.4455 −0.9510 23.7121−1.4065 2.1576 23.7121 −0.6202 −0.5270 23.7121 −1.2012 1.7488 23.7121−0.7995 −0.1048 23.7121 −1.0002 1.3379 23.7121 −0.9832 0.3157 23.7121−0.8043 0.9246 23.7121 −1.1710 0.7345 23.7121 −0.6138 0.5088 23.7121−1.3626 1.1516 23.7121 −0.4291 0.0903 23.7121 −1.5578 1.5669 23.7121−0.2502 −0.3306 23.7121 −1.7563 1.9807 23.7121 −0.0771 −0.7537 23.7121−1.9571 2.3932 23.7121 0.0907 −1.1789 23.7121 −2.1596 2.8050 23.71210.2532 −1.6061 23.7121 −2.3635 3.2161 23.7121 0.4052 −2.0211 23.7121−2.5619 3.6129 23.7121 0.5478 −2.4233 23.7121 −2.7541 3.9957 23.71210.6827 −2.8123 23.7121 −2.9393 4.3648 23.7121 0.8117 −3.1870 23.7121−3.1168 4.7208 23.7121 0.9366 −3.5472 23.7121 −3.2873 5.0630 23.71211.0588 −3.8921 23.7121 −3.4491 5.3926 23.7121 1.1801 −4.2211 23.7121−3.6002 5.7104 23.7121 1.2964 −4.5196 23.7121 −3.7419 6.0156 23.71211.4080 −4.7867 23.7121 −3.8661 6.2952 23.7121 1.5126 −5.0239 23.7121−3.9727 6.5490 23.7121 1.6067 −5.2323 23.7121 −4.0630 6.7765 23.71211.6915 −5.4115 23.7121 −4.1435 6.9914 23.7121 1.7679 −5.5607 23.7121−4.2097 7.1790 23.7121 1.8359 −5.6868 23.7121 −4.2567 7.3247 23.71211.8938 −5.7925 23.7121 −4.2900 7.4424 23.7121 1.9414 −5.8793 23.7121−4.3111 7.5318 23.7121 1.9794 −5.9490 23.7121 −4.3232 7.5996 23.71212.0084 −6.0026 23.7121 −4.3271 7.6376 23.7121 2.0302 −6.0429 23.7121−4.3270 7.6621 23.7121 2.0482 −6.0764 23.7121 −4.3247 7.6741 23.71212.0498 −6.1064 23.7121 −4.3218 7.6795 23.7121 −4.2422 7.9116 24.13481.9056 −6.2151 24.1348 −4.2391 7.9114 24.1348 1.8849 −6.2250 24.1348−4.2341 7.9078 24.1348 1.8557 −6.2183 24.1348 −4.2263 7.8982 24.13481.8271 −6.1914 24.1348 −4.2137 7.8769 24.1348 1.7937 −6.1581 24.1348−4.1966 7.8421 24.1348 1.7504 −6.1125 24.1348 −4.1694 7.7780 24.13481.6956 −6.0521 24.1348 −4.1360 7.6914 24.1348 1.6290 −5.9747 24.1348−4.0928 7.5755 24.1348 1.5516 −5.8783 24.1348 −4.0366 7.4313 24.13481.4651 −5.7596 24.1348 −3.9599 7.2456 24.1348 1.3697 −5.6163 24.1348−3.8663 7.0332 24.1348 1.2595 −5.4451 24.1348 −3.7619 6.8089 24.13481.1393 −5.2444 24.1348 −3.6388 6.5593 24.1348 1.0166 −5.0111 24.1348−3.4959 6.2851 24.1348 0.8922 −4.7449 24.1348 −3.3347 5.9858 24.13480.7655 −4.4462 24.1348 −3.1639 5.6740 24.1348 0.6380 −4.1142 24.1348−2.9843 5.3494 24.1348 0.5138 −3.7641 24.1348 −2.7976 5.0109 24.13480.3897 −3.3971 24.1348 −2.6048 4.6584 24.1348 0.2627 −3.0144 24.1348−2.4064 4.2912 24.1348 0.1307 −2.6172 24.1348 −2.2032 3.9090 24.1348−0.0080 −2.2059 24.1348 −1.9954 3.5118 24.1348 −0.1549 −1.7811 24.1348−1.7835 3.0992 24.1348 −0.3115 −1.3435 24.1348 −1.5755 2.6846 24.1348−0.4728 −0.9075 24.1348 −1.3721 2.2678 24.1348 −0.6387 −0.4733 24.1348−1.1731 1.8489 24.1348 −0.8093 −0.0407 24.1348 −0.9792 1.4275 24.1348−0.9843 0.3902 24.1348 −0.7911 1.0036 24.1348 −1.1637 0.8194 24.1348−0.6091 0.5770 24.1348 −1.3474 1.2469 24.1348 −0.4335 0.1477 24.1348−1.5353 1.6726 24.1348 −0.2640 −0.2841 24.1348 −1.7270 2.0964 24.1348−0.1006 −0.7180 24.1348 −1.9218 2.5188 24.1348 0.0575 −1.1539 24.1348−2.1188 2.9402 24.1348 0.2103 −1.5916 24.1348 −2.3180 3.3606 24.13480.3529 −2.0167 24.1348 −2.5124 3.7661 24.1348 0.4864 −2.4285 24.1348−2.7013 4.1571 24.1348 0.6127 −2.8264 24.1348 −2.8839 4.5340 24.13480.7337 −3.2097 24.1348 −3.0591 4.8971 24.1348 0.8512 −3.5780 24.1348−3.2279 5.2462 24.1348 0.9663 −3.9308 24.1348 −3.3881 5.5822 24.13481.0812 −4.2674 24.1348 −3.5379 5.9058 24.1348 1.1917 −4.5727 24.1348−3.6786 6.2166 24.1348 1.2984 −4.8463 24.1348 −3.8018 6.5012 24.13481.3990 −5.0890 24.1348 −3.9073 6.7596 24.1348 1.4896 −5.3025 24.1348−3.9963 6.9912 24.1348 1.5716 −5.4859 24.1348 −4.0751 7.2102 24.13481.6460 −5.6388 24.1348 −4.1395 7.4013 24.1348 1.7125 −5.7680 24.1348−4.1850 7.5495 24.1348 1.7692 −5.8762 24.1348 −4.2170 7.6694 24.13481.8160 −5.9653 24.1348 −4.2371 7.7602 24.1348 1.8533 −6.0365 24.1348−4.2481 7.8291 24.1348 1.8819 −6.0913 24.1348 −4.2513 7.8678 24.13481.9033 −6.1326 24.1348 −4.2507 7.8925 24.1348 1.9208 −6.1670 24.1348−4.2480 7.9046 24.1348 1.9196 −6.1970 24.1348 −4.2450 7.9100 24.1348−4.1708 8.1502 24.5584 1.7737 −6.3052 24.5584 −4.1677 8.1497 24.55841.7526 −6.3150 24.5584 −4.1626 8.1461 24.5584 1.7222 −6.3102 24.5584−4.1545 8.1365 24.5584 1.6932 −6.2829 24.5584 −4.1415 8.1150 24.55841.6597 −6.2487 24.5584 −4.1241 8.0799 24.5584 1.6164 −6.2018 24.5584−4.0966 8.0149 24.5584 1.5617 −6.1394 24.5584 −4.0631 7.9269 24.55841.4956 −6.0597 24.5584 −4.0203 7.8089 24.5584 1.4190 −5.9600 24.5584−3.9649 7.6622 24.5584 1.3339 −5.8374 24.5584 −3.8892 7.4729 24.55841.2407 −5.6897 24.5584 −3.7970 7.2564 24.5584 1.1332 −5.5134 24.5584−3.6941 7.0275 24.5584 1.0158 −5.3064 24.5584 −3.5728 6.7728 24.55840.8966 −5.0666 24.5584 −3.4320 6.4926 24.5584 0.7764 −4.7935 24.5584−3.2730 6.1865 24.5584 0.6546 −4.4874 24.5584 −3.1044 5.8675 24.55840.5337 −4.1474 24.5584 −2.9272 5.5355 24.5584 0.4180 −3.7885 24.5584−2.7426 5.1895 24.5584 0.3036 −3.4123 24.5584 −2.5520 4.8290 24.55840.1871 −3.0202 24.5584 −2.3560 4.4537 24.5584 0.0656 −2.6131 24.5584−2.1555 4.0629 24.5584 −0.0626 −2.1917 24.5584 −1.9507 3.6569 24.5584−0.1996 −1.7567 24.5584 −1.7424 3.2349 24.5584 −0.3468 −1.3086 24.5584−1.5389 2.8109 24.5584 −0.4993 −0.8624 24.5584 −1.3404 2.3844 24.5584−0.6572 −0.4180 24.5584 −1.1473 1.9554 24.5584 −0.8200 0.0247 24.5584−0.9602 1.5236 24.5584 −0.9877 0.4657 24.5584 −0.7797 1.0890 24.5584−1.1600 0.9051 24.5584 −0.6062 0.6516 24.5584 −1.3367 1.3430 24.5584−0.4397 0.2114 24.5584 −1.5180 1.7790 24.5584 −0.2800 −0.2312 24.5584−1.7033 2.2133 24.5584 −0.1267 −0.6761 24.5584 −1.8918 2.6461 24.55840.0212 −1.1229 24.5584 −2.0831 3.0777 24.5584 0.1639 −1.5712 24.5584−2.2767 3.5082 24.5584 0.2972 −2.0063 24.5584 −2.4662 3.9234 24.55840.4221 −2.4273 24.5584 −2.6508 4.3235 24.5584 0.5406 −2.8342 24.5584−2.8295 4.7091 24.5584 0.6543 −3.2260 24.5584 −3.0016 5.0803 24.55840.7648 −3.6024 24.5584 −3.1672 5.4372 24.5584 0.8737 −3.9629 24.5584−3.3250 5.7804 24.5584 0.9823 −4.3069 24.5584 −3.4731 6.1107 24.55841.0871 −4.6192 24.5584 −3.6124 6.4277 24.5584 1.1888 −4.8996 24.5584−3.7349 6.7177 24.5584 1.2853 −5.1487 24.5584 −3.8400 6.9807 24.55841.3724 −5.3678 24.5584 −3.9289 7.2163 24.5584 1.4515 −5.5564 24.5584−4.0077 7.4388 24.5584 1.5239 −5.7135 24.5584 −4.0723 7.6330 24.55841.5888 −5.8464 24.5584 −4.1180 7.7836 24.5584 1.6443 −5.9576 24.5584−4.1500 7.9054 24.5584 1.6901 −6.0491 24.5584 −4.1698 7.9978 24.55841.7268 −6.1223 24.5584 −4.1802 8.0678 24.5584 1.7548 −6.1786 24.5584−4.1827 8.1071 24.5584 1.7758 −6.2209 24.5584 −4.1812 8.1322 24.55841.7931 −6.2562 24.5584 −4.1777 8.1442 24.5584 1.7893 −6.2871 24.5584−4.1738 8.1490 24.5584

It will be appreciated that the airfoil 105 disclosed in the abovescalable TABLE 1 may be non-scaled, scaled up, or scaled downgeometrically for use in other or similar turbine/compressor designs.Consequently, the coordinate values set forth in TABLE 1 may benon-scaled, scaled upwardly, or scaled downwardly such that the generalairfoil profile shape remains unchanged. A scaled version of thecoordinates in TABLE 1 would be represented by X, Y, and Z coordinatevalues of TABLE 1, with the X, Y, and Z non-dimensional coordinatevalues converted to inches or millimeters (or any suitable dimensionalsystem), multiplied or divided by a constant number. The constant numbermay be a fraction, decimal fraction, integer or mixed number.

The disclosed airfoil shape thus may increase reliability and may bespecific to the machine conditions and specifications. The airfoil shapeprovides a unique profile to achieve (1) interaction between otherstages in the compressor; (2) aerodynamic efficiency; and (3) normalizedaerodynamic and mechanical blade or vane loadings. The disclosed loci ofpoints allow the gas turbine and the compressor or any other suitableturbine/compressor to run in an efficient, safe and smooth manner. Asalso noted, any scale of the disclosed airfoil may be adopted as long as(1) interaction between other stages in the compressor; (2) aerodynamicefficiency; and (3) normalized aerodynamic and mechanical blade loadingsare maintained in the scaled compressor.

The airfoil 105 described herein thus improves overall compressorefficiency. Specifically, the airfoil 105 may provide the desiredturbine/compressor efficiency lapse rate (ISO, hot, cold, part load,etc.). The airfoil 105 also meets all aeromechanics, loading and stressrequirements.

It should be apparent that the foregoing relates only to certainembodiments of the present application and the resultant patent.Numerous changes and modifications may be made herein by one of ordinaryskill in the art without departing from the general spirit and scope ofthe invention as defined by the following claims and the equivalentsthereof.

We claim:
 1. An article of manufacture having a nominal airfoil profilesubstantially in accordance with Cartesian coordinate values of X, Y,and Z set forth in scalable TABLE 1, wherein the Cartesian coordinatevalues of X, Y, and Z are non-dimensional values convertible todimensional distances by multiplying the Cartesian coordinate values ofX, Y, and Z by a number, and wherein X and Y are coordinates which, whenconnected by continuing arcs, define airfoil profile sections at each Zheight, the airfoil profile sections at each Z height being joined withone another to form a complete airfoil shape.
 2. The article ofmanufacture according to claim 1, wherein the article of manufacturecomprises an airfoil.
 3. The article of manufacture according to claim1, wherein the article of manufacture comprises a rotor blade configuredfor use with a compressor.
 4. The article of manufacture according toclaim 1, wherein the airfoil shape lies in an envelope within at leastone of: +/−5% of a chord length in a direction normal to an airfoilsurface location and +/−0.25 inches (about 6.36 millimeters) in adirection normal to an airfoil surface location.
 5. The article ofmanufacture according to claim 1, wherein the number, used to convertthe non-dimensional values to dimensional distances, is at least one ofa fraction, a decimal fraction, an integer, and a mixed number.
 6. Thearticle of manufacture according to claim 1, wherein a height of thearticle of manufacture is about 1 inch to about 20 inches (about 2.54centimeters to about 50.8 centimeters).
 7. An article of manufacturehaving a suction-side nominal airfoil profile substantially inaccordance with suction-side Cartesian coordinate values of X, Y, and Zset forth in scalable TABLE 1, wherein the Cartesian coordinate valuesof X, Y, and Z are non-dimensional values convertible to dimensionaldistances by multiplying the Cartesian coordinate values of X, Y, and Zby a number, and wherein X and Y are coordinates which, when connectedby continuing arcs, define airfoil profile sections at each Z height,the airfoil profile sections at each Z height being joined with oneanother to form a complete suction-side airfoil shape, the X, Y, and Zcoordinate values being scalable as a function of the number to provideat least one of a non-scaled, scaled-up, and scaled-down airfoilprofile.
 8. The article of manufacture according to claim 7, wherein thearticle of manufacture comprises an airfoil.
 9. The article ofmanufacture according to claim 7, wherein the article of manufacturecomprises a rotor blade configured for use with a compressor.
 10. Thearticle of manufacture according to claim 7, wherein the suction-sideairfoil shape lies in an envelope within at least one of: +/−5% of achord length in a direction normal to a suction-side airfoil surfacelocation and +/−0.25 inches (about 6.36 millimeters) in a directionnormal to a suction-side airfoil surface location.
 11. The article ofmanufacture according to claim 7, wherein the number, used to convertthe non-dimensional values to dimensional distances, is at least one ofa fraction, a decimal fraction, an integer, and a mixed number.
 12. Thearticle of manufacture according to claim 7, wherein a height of thearticle of manufacture is about 1 inch to about 20 inches (about 2.54centimeters to about 50.8 centimeters).
 13. The article of manufactureaccording to claim 7, further comprising the article of manufacturehaving a pressure-side nominal airfoil profile substantially inaccordance with pressure-side Cartesian coordinate values of X, Y, and Zset forth in the scalable table, wherein the Cartesian coordinate valuesof X, Y, and Z are non-dimensional values convertible to dimensionaldistances by multiplying the Cartesian coordinate values of X, Y, and Zby a number, and wherein X and Y are coordinates which, when connectedby continuing arcs, define airfoil profile sections at each Z height,the airfoil profile sections at each Z height being joined with oneanother to form a complete pressure-side airfoil shape, the X, Y, and Zvalues being scalable as a function of the number to provide at leastone of a non-scaled, scaled-up, and scaled-down airfoil.
 14. Acompressor comprising a plurality of rotor blades, each of the rotorblades including an airfoil having a suction-side airfoil shape, theairfoil having a nominal profile substantially in accordance withsuction-side Cartesian coordinate values of X, Y, and Z set forth inscalable TABLE 1, wherein the Cartesian coordinate values of X, Y, and Zare non-dimensional values convertible to dimensional distances bymultiplying the Cartesian coordinate values of X, Y, and Z by a number,and wherein X and Y are coordinates which, when connected by continuingarcs, define airfoil profile sections at each Z height, the airfoilprofile sections at each Z height being joined with one another to forma complete suction-side airfoil shape.
 15. The compressor according toclaim 14, wherein the suction-side airfoil shape lies in an envelopewithin at least one of: +/−5% of a chord length in a direction normal toa suction-side airfoil surface location and +/−0.25 inches (about 6.36millimeters) in a direction normal to a suction-side airfoil surfacelocation.
 16. The compressor according to claim 14, wherein the number,used to convert the non-dimensional values to dimensional distances, isat least one of a fraction, a decimal fraction, an integer, and a mixednumber.
 17. The compressor according to claim 14, wherein a height ofeach rotor blade is about 1 inch to about 20 inches (about 2.54centimeters to about 50.8 centimeters).
 18. The compressor according toclaim 14, further comprising each of the plurality of rotor bladeshaving a pressure-side nominal airfoil profile substantially inaccordance with pressure-side Cartesian coordinate values of X, Y, and Zset forth in the scalable table, wherein the Cartesian coordinate valuesof X, Y, and Z are non-dimensional values convertible to dimensionaldistances by multiplying the Cartesian coordinate values of X, Y, and Zby the number, and wherein X and Y are coordinates which, when connectedby continuing arcs, define airfoil profile sections at each Z height,the airfoil profile sections at each Z height being joined with oneanother to form a complete pressure-side airfoil shape.
 19. Thecompressor according to claim 18, wherein the pressure-side airfoilshape lies in an envelope within at least one of: +/−5% of a chordlength in a direction normal to a pressure-side airfoil surface locationand +/−0.25 inches (about 6.36 millimeters) in a direction normal to apressure-side airfoil surface location.
 20. The compressor according toclaim 18, wherein the number, used to convert the non-dimensional valuesto dimensional distances, is at least one of a fraction, a decimalfraction, an integer, and a mixed number.